Shock reflection for the damped P-system

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	Shock reflection for the damped P-system
	Hsiao, L ; Li, HL
	2002-09-01
发表期刊	QUARTERLY OF APPLIED MATHEMATICS
ISSN	0033-569X
卷号	60 期号:3 页码:437-460
摘要	The global existence and the asymptotic behavior of the weak entropy solution, the piecewise smooth solution with one shock discontinuity, on a strip domain is investigated in the present paper. We show that, for small smooth initial data and boundary value with only one small jump at (x, t) = (0, 0), the piecewise smooth solution with one shock discontinuity exists globally in time. The shock discontinuity begins from (x, t) = (0, 0), moves forward and reflects in a finite time at the boundary x = 1 to form a I-shock, which goes backward and reflects at x = 0 also in a finite time to create a new 2-shock. The shock strength decays exponentially and never disappears in finite time. As t --> infinity, this solution converges to a constant state determined by the initial and the boundary conditions.
关键词	damped P-system shock reflection asymptotic behavior decay rates
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000177129700003
出版者	AMER MATHEMATICAL SOC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/17628
专题	中国科学院数学与系统科学研究院
通讯作者	Hsiao, L
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China 2.Acad Sinica, Inst Math, Beijing 100080, Peoples R China 3.SISSA, I-34014 Trieste, Italy
推荐引用方式 GB/T 7714	Hsiao, L,Li, HL. Shock reflection for the damped P-system[J]. QUARTERLY OF APPLIED MATHEMATICS,2002,60(3):437-460.
APA	Hsiao, L,&Li, HL.(2002).Shock reflection for the damped P-system.QUARTERLY OF APPLIED MATHEMATICS,60(3),437-460.
MLA	Hsiao, L,et al."Shock reflection for the damped P-system".QUARTERLY OF APPLIED MATHEMATICS 60.3(2002):437-460.